15. sinh 2x = 2 sinh x cosh x %3D

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A:

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A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

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A: according to guidelines we should able to do only one question at a time #10

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A: Given: 13∫3cosh3x4+sinh3xdx

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

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A: we have to find the value of L{sinh(6t)-cosh(t)}

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A: Since you have posted multiple subparts question in this question so I have solved first question as…

Q: 1 Integrate | tanhx dx

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Q: Find y' if y=In(tanhx) +cosh¬1(coth2x)

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Q: (27 (b) Show that 0. 4 tanh- 2x dx In 8. 16

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A: i am solving question 4 for other question repost

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: We know sinh xcosh x = tanh x ∫tanh ax dx = 1alncosh ax + C    (where C is constant of integration)

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A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: rIn 2 cosh x dx. Vsinh a x + 4 sinh x +2

A:

Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We have identity, cosh2θ-sinh2θ=1 Putting…

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Q: 4- cosh x2 dy + (sinh x)y = e-* dx

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Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: Differentiate y= arctan sinh x. coshx A. 1-sinh x cosh x B. cosh x C. ainh-x D. 1+sinh-x

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Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

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A: Given

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A: Answer to question number 8 and 9 are as below,

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

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A: Given- ∫12x2ln3x To find- The value of the above integral. Concept Used- The above integral can be…

Q: tanh 2x In (cosh 2x)dx

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A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

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A: Given:     dydx+y=16

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A: We will solve the problem.

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Q: if 2 tanh x.In x = sinh' (sin x)+logcos dx dy Q5/ Find

A: To differentiate the given function.

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Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral

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Q: In( cosh(3x) - sinh(3x) )=

A: